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141210447554664 = 233212730615045071
BaseRepresentation
bin100000000110111000011110…
…100100001010100001101000
3200111222120211212212102021200
4200012320132210022201220
5122002042444033222124
61220155103431004200
741513055346530135
oct4006703644124150
9614876755772250
10141210447554664
1140aa3018328834
1213a07645209660
1360a411b6374c7
1426c289d19b58c
15114d31b4ddbc9
hex806e1e90a868

141210447554664 has 96 divisors (see below), whose sum is σ = 385582341181440. Its totient is φ = 46684252540800.

The previous prime is 141210447554599. The next prime is 141210447554681. The reversal of 141210447554664 is 466455744012141.

141210447554664 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 104 + 4 + 75 + 5 + 466 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 141210447554664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25467249 + ... + 30512319.

It is an arithmetic number, because the mean of its divisors is an integer number (4016482720640).

Almost surely, 2141210447554664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141210447554664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192791170590720).

141210447554664 is an abundant number, since it is smaller than the sum of its proper divisors (244371893626776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141210447554664 is a wasteful number, since it uses less digits than its factorization.

141210447554664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048271 (or 5048264 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 141210447554664 in words is "one hundred forty-one trillion, two hundred ten billion, four hundred forty-seven million, five hundred fifty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 381 508 762 1016 1143 1524 2286 3048 3061 4572 6122 9144 9183 12244 18366 24488 27549 36732 55098 73464 110196 220392 388747 777494 1166241 1554988 2332482 3109976 3498723 4664964 5045071 6997446 9329928 10090142 13994892 15135213 20180284 27989784 30270426 40360568 45405639 60540852 90811278 121081704 181622556 363245112 640724017 1281448034 1922172051 2562896068 3844344102 5125792136 5766516153 7688688204 11533032306 15377376408 15442962331 23066064612 30885924662 46132129224 46328886993 61771849324 92657773986 123543698648 138986660979 185315547972 277973321958 370631095944 555946643916 1111893287832 1961256216037 3922512432074 5883768648111 7845024864148 11767537296222 15690049728296 17651305944333 23535074592444 35302611888666 47070149184888 70605223777332 141210447554664